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Solution filtering technique for solving Burgers' equation

Pages: 951 - 959, Issue Special, July 2003

 Abstract        Full Text (697.3K)              

Tianliang Yang - Department of Mechanical Engineering, University of Kentucky, Lexington, KY 40506-0503, United States (email)
J. M. McDonough - Department of Mechanical Engineering, University of Kentucky, Lexington, KY 40506-0503, United States (email)

Abstract: In this paper we focus on using a solution filtering technique as an alternative to the conventional large-eddy simulation approach of filtering the governing equations. Our research shows that the solution filtering technique works quite well when applied to Burgers' equation, and since this equation embodies many important mathematical features of the Navier-Stokes equations, the solution filtering technique possesses significant potential for solving practical turbulence problems governed by these equations.

Keywords:  Turbulence, Filter, Burgers' Equation.
Mathematics Subject Classification:  Primary: 65M06, 76D05, 76F65.

Received: September 2002;      Revised: March 2003;      Published: April 2003.